Probability Question 312
Question: In a series of 3 one -day cricket matches between teams A and B of a collage, the probability of team A winning or drawing are 1/3 and 1/6 respectively. If a win, lose or draw gives 2, 0 and 1 point respectively, then what is the probability that team A will score 5 points in the series?
Options:
A) $ \frac{17}{18} $
B) $ \frac{11}{12} $
C) $ \frac{1}{12} $
D) $ \frac{1}{18} $
Show Answer
Answer:
Correct Answer: D
Solution:
Req. prob. = P (5 points) = P(two wins and one draw) $ =p(WWD)+P(WDW)+P(DWW) $
$ =\frac{1}{3}\times \frac{1}{3}\times \frac{1}{6}+\frac{1}{3}\times \frac{1}{6}\times \frac{1}{3}+\frac{1}{6}\times \frac{1}{3}\times \frac{1}{3}=\frac{1}{18} $
BETA
